This craft has been called a "DARDIS" in fandom, but the name cannot be substantiated easily. It was never used in any televised adventure. Neither does it appear in the novelisations for The Chase nor part 1 nor part 2 of The Daleks' Master Plan. Instead, author John Peel, like scriptwriter Terry Nation, predominantly uses the phrase "Dalek time machine", but sometimes uses "Dalek time ship" for variety.

It has been alleged that "DARDIS" does appear in scripts for The Chase, but it's unclear as to what the source of this claim is, since the script has never been made available commercially.

The name does appear within an officially licensed story, however. In the Sixth Doctor novel, The Quantum Archangel, the Master is said to have "the DARDIS core, stolen from Skaro itself", but that's the extent of the usage in the text. There's nothing that solidly ties that name-drop to the Dalek time machines in The Chase.

Likewise, the meaning of the acronym DARDIS remains unknown. It is likely a contraction of "Dalek TARDIS" — or possibly "Daleks And Relative Dimensions in Space".